466354080 has 216 divisors, whose sum is σ = 1649305476. Its totient is φ = 119992320.

The previous prime is 466354073. The next prime is 466354093. The reversal of 466354080 is 80453664.

It can be written as a sum of positive squares in 2 ways, for example, as 449609616 + 16744464 = 21204^2 + 4092^2 .

It is a super-2 number, since 2×466354080² = 434972255865292800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1383672 + ... + 1384008.

Almost surely, 2^466354080 is an apocalyptic number.

466354080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466354080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824652738).

466354080 is an abundant number, since it is smaller than the sum of its proper divisors (1182951396).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

466354080 is a wasteful number, since it uses less digits than its factorization.

466354080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 466354080 is about 21595.2328072656. The cubic root of 466354080 is about 775.4823663756.

The spelling of 466354080 in words is "four hundred sixty-six million, three hundred fifty-four thousand, eighty".